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Finding the Fourth Proportional to 3,595.95, 4,961.82 and 2,082.98

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Solution

The fourth proportional to 3,595.95, 4,961.82 and 2,082.98 is: 2,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.95 : 4,961.82 = 2,082.98 : x
  2. Step 2: Convert to fraction form
    3,595.95/4,961.82 = 2,082.98/x
  3. Step 3: Cross multiply
    3,595.95x = 4,961.82 × 2,082.98
  4. Step 4: Simplify right side
    3,595.95x = 10,335,371.82
  5. Step 5: Solve for x
    x = 10,335,371.82/3,595.95
  6. Step 6: Final answer
    x = 2,874.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.